301 Moved Permanently - Free Printable

To solve the problems in the worksheet, we will use the BODMAS rule. BODMAS stands for:

- B: Brackets
- O: Orders (powers and roots, etc.)
- D: Division
- M: Multiplication
- A: Addition
- S: Subtraction

We will evaluate each expression step by step.

---

Worksheet: Basic Operations - BODMAS

#### 1. \( 17 \times 26 + 13 \)
- Step 1: Perform multiplication first.
\[
17 \times 26 = 442
\]
- Step 2: Add 13.
\[
442 + 13 = 455
\]
- Answer: \( \boxed{455} \)

#### 2. \( 78 \div (11 - 8) \)
- Step 1: Solve the brackets.
\[
11 - 8 = 3
\]
- Step 2: Perform division.
\[
78 \div 3 = 26
\]
- Answer: \( \boxed{26} \)

#### 3. \( (59 + 36) \div 19 \)
- Step 1: Solve the brackets.
\[
59 + 36 = 95
\]
- Step 2: Perform division.
\[
95 \div 19 = 5
\]
- Answer: \( \boxed{5} \)

#### 4. \( 23 - (29 - 9) \)
- Step 1: Solve the brackets.
\[
29 - 9 = 20
\]
- Step 2: Subtract.
\[
23 - 20 = 3
\]
- Answer: \( \boxed{3} \)

#### 5. \( (44 - 12) \div 16 \)
- Step 1: Solve the brackets.
\[
44 - 12 = 32
\]
- Step 2: Perform division.
\[
32 \div 16 = 2
\]
- Answer: \( \boxed{2} \)

#### 6. \( 9 + 12 + 27 \)
- Step 1: Perform addition from left to right.
\[
9 + 12 = 21
\]
\[
21 + 27 = 48
\]
- Answer: \( \boxed{48} \)

#### 7. \( 40 \div (23 - 15) \)
- Step 1: Solve the brackets.
\[
23 - 15 = 8
\]
- Step 2: Perform division.
\[
40 \div 8 = 5
\]
- Answer: \( \boxed{5} \)

#### 8. \( 6^2 - 3 \)
- Step 1: Solve the exponent.
\[
6^2 = 36
\]
- Step 2: Subtract.
\[
36 - 3 = 33
\]
- Answer: \( \boxed{33} \)

#### 9. \( 5 + 15 - 3 \)
- Step 1: Perform addition and subtraction from left to right.
\[
5 + 15 = 20
\]
\[
20 - 3 = 17
\]
- Answer: \( \boxed{17} \)

#### 10. \( 30 - 7 + 15 \)
- Step 1: Perform subtraction and addition from left to right.
\[
30 - 7 = 23
\]
\[
23 + 15 = 38
\]
- Answer: \( \boxed{38} \)

#### 11. \( 4 + 22 + 30 - 2 \)
- Step 1: Perform addition and subtraction from left to right.
\[
4 + 22 = 26
\]
\[
26 + 30 = 56
\]
\[
56 - 2 = 54
\]
- Answer: \( \boxed{54} \)

#### 12. \( 27 \times 2 - 4 + 15 \)
- Step 1: Perform multiplication.
\[
27 \times 2 = 54
\]
- Step 2: Perform subtraction and addition from left to right.
\[
54 - 4 = 50
\]
\[
50 + 15 = 65
\]
- Answer: \( \boxed{65} \)

#### 13. \( 19 - 7 - (4 + 6) \)
- Step 1: Solve the brackets.
\[
4 + 6 = 10
\]
- Step 2: Perform subtraction from left to right.
\[
19 - 7 = 12
\]
\[
12 - 10 = 2
\]
- Answer: \( \boxed{2} \)

#### 14. \( 6 + 8 + 14 - 20 \)
- Step 1: Perform addition and subtraction from left to right.
\[
6 + 8 = 14
\]
\[
14 + 14 = 28
\]
\[
28 - 20 = 8
\]
- Answer: \( \boxed{8} \)

#### 15. \( 4 \times (56 - 23) + 11 \)
- Step 1: Solve the brackets.
\[
56 - 23 = 33
\]
- Step 2: Perform multiplication.
\[
4 \times 33 = 132
\]
- Step 3: Add 11.
\[
132 + 11 = 143
\]
- Answer: \( \boxed{143} \)

#### 16. \( 33 \div (25 - (18 + 4)) \)
- Step 1: Solve the innermost brackets.
\[
18 + 4 = 22
\]
- Step 2: Solve the outer brackets.
\[
25 - 22 = 3
\]
- Step 3: Perform division.
\[
33 \div 3 = 11
\]
- Answer: \( \boxed{11} \)

#### 17. \( 2 \times 4^2 \times 7 \)
- Step 1: Solve the exponent.
\[
4^2 = 16
\]
- Step 2: Perform multiplication from left to right.
\[
2 \times 16 = 32
\]
\[
32 \times 7 = 224
\]
- Answer: \( \boxed{224} \)

#### 18. \( (27 - 22) \div 5 \times 29 \)
- Step 1: Solve the brackets.
\[
27 - 22 = 5
\]
- Step 2: Perform division.
\[
5 \div 5 = 1
\]
- Step 3: Perform multiplication.
\[
1 \times 29 = 29
\]
- Answer: \( \boxed{29} \)

#### 19. \( (9 + 4) \times 18 - 7 \)
- Step 1: Solve the brackets.
\[
9 + 4 = 13
\]
- Step 2: Perform multiplication.
\[
13 \times 18 = 234
\]
- Step 3: Subtract.
\[
234 - 7 = 227
\]
- Answer: \( \boxed{227} \)

#### 20. \( (1 + 13) \times 14 \times 8 \)
- Step 1: Solve the brackets.
\[
1 + 13 = 14
\]
- Step 2: Perform multiplication from left to right.
\[
14 \times 14 = 196
\]
\[
196 \times 8 = 1568
\]
- Answer: \( \boxed{1568} \)

#### 21. \( (25 - 23)(15 - 7) + 27 \)
- Step 1: Solve the brackets.
\[
25 - 23 = 2
\]
\[
15 - 7 = 8
\]
- Step 2: Perform multiplication.
\[
2 \times 8 = 16
\]
- Step 3: Add 27.
\[
16 + 27 = 43
\]
- Answer: \( \boxed{43} \)

#### 22. \( 72 \div (23 - (4 + 11 + 4)) \)
- Step 1: Solve the innermost brackets.
\[
4 + 11 + 4 = 19
\]
- Step 2: Solve the outer brackets.
\[
23 - 19 = 4
\]
- Step 3: Perform division.
\[
72 \div 4 = 18
\]
- Answer: \( \boxed{18} \)

#### 23. \( (84 \times 2) \div 7 \)
- Step 1: Solve the brackets.
\[
84 \times 2 = 168
\]
- Step 2: Perform division.
\[
168 \div 7 = 24
\]
- Answer: \( \boxed{24} \)

#### 24. \( 5 \times 6 \times 88 \div (4 + 18) \)
- Step 1: Solve the brackets.
\[
4 + 18 = 22
\]
- Step 2: Perform multiplication.
\[
5 \times 6 = 30
\]
\[
30 \times 88 = 2640
\]
- Step 3: Perform division.
\[
2640 \div 22 = 120
\]
- Answer: \( \boxed{120} \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 455 \\
2. & 26 \\
3. & 5 \\
4. & 3 \\
5. & 2 \\
6. & 48 \\
7. & 5 \\
8. & 33 \\
9. & 17 \\
10. & 38 \\
11. & 54 \\
12. & 65 \\
13. & 2 \\
14. & 8 \\
15. & 143 \\
16. & 11 \\
17. & 224 \\
18. & 29 \\
19. & 227 \\
20. & 1568 \\
21. & 43 \\
22. & 18 \\
23. & 24 \\
24. & 120 \\
\end{array}
}
\]